Question
In: Statistics and Probability
in a certain city, the monthly water bill amount is normally distributed with mean 25 and...
in a certain city, the monthly water bill amount is normally distributed with mean 25 and standard deviation 15. A sample of 36 bills was selected. What is the probability that the average water bill amount for the sample was between 26.7 and 30? round your answer to 4 decimal places. Do not write as percentage.
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 25
standard deviation = 
= 15
n = 36
= 25
= /
P(26.7< <30
) = P[(26.7 - 25) /2.5 < (
-
) / < (30 - 25) /2.5 )]
= P(0.68 < Z <2 )
= P(Z < 2) - P(Z < 0.68)
Using z table
=0.9772 - 0.7517
=0.2255
probability=0.2255
orchestra answered 3 years agoRelated Solutions
The monthly utility bills in a certain city are normally distributed with a mean of $100...
The monthly utility bills in a certain city are normally
distributed with a mean of $100 and standard deviation of
$12.
a) A utility bill is randomly selected. Find the probability
that it is: i) less than $80
ii) between $75 and $ 115
b) What percentage of the utility bills are for more than
$125?
c) If 300 utility bills were selected at random, how many
would be less than $90?
d) The utility company wants to give a...
The value of investment properties in a certain city is normally distributed with a mean of...
The value of investment properties in a certain city is normally
distributed with a mean of $360,000 and standard deviation of
$60,000.
(a) What is the probability that a randomly selected property is
worth less than $250,000?
(b) If the value of investment properties for 5% of all
investors is less than a given amount, what is the maximum amount
that an investor would expect to pay for a property?
(c) If a random sample of 45 investors is selected,...
The amount of water in a bottle is approximately normally distributed with a mean of 2.85...
The amount of water in a bottle is approximately normally
distributed with a mean of 2.85 litres with a standard deviation of
0.035-liter.
b. If a sample of 4 bottles is selected, the probability that
the sample mean amount contained is less than 2.82 litres is
0.043.
c. If a sample of 25 bottles is selected, the probability that
the sample mean amount contained is less than 2.82 litres is
0.
Explain the difference in the results of (b) and...
The amount of water in a bottle is approximately normally distributed with a mean of 2.40...
The amount of water in a bottle is approximately normally
distributed with a mean of 2.40 liters with a standard deviation of
0.045 liter. Complete parts (a) through (e) below. a).What is the
probability that an individual bottle contains less than 2.36
liters? b). If a sample of 4 bottles is selected, what is the
probability that the sample mean amount contained is less than 2.36
liters? c).If a sample of 25 bottles is selected, what is the
probability that...
The amount of snowfall falling in a certain mountain range is normally distributed with a mean...
The amount of snowfall falling in a certain mountain range is
normally distributed with a mean of 84 inches and a standard
deviation of 10 inches. What is the probability that the mean
annual snowfall during 25 randomly picked years will exceed 86.8
inches?
Round your answer to four decimal places.
A.0.4192
B.0.0808
C.0.5808
D.0.0026
The amount of annual snowfall in a certain mountain range is normally distributed with a mean...
The amount of annual snowfall in a certain mountain range is
normally distributed with a mean of 70 inches and a standard
deviation of 10 inches. If X ¯ represents the average amount of
snowfall in 35 years, find k such that P(X ¯ <k) = 0.75. Round
your answer to 3 decimal places.
The amount of annual snowfall in a certain mountain range is normally distributed with a mean...
The amount of annual snowfall in a certain mountain range is
normally distributed with a mean of 70 inches and a standard
deviation of 10 inches. If represents the average amount of
snowfall in 5 years, find k such that P(<k) = 0.85. Round your
answer to 3 decimal places.
In a certain winter vacation city, snowfalls in January are Normally distributed with mean = 175.8...
In a certain winter vacation city, snowfalls in January are
Normally distributed with mean = 175.8 inches and standard
deviation = 25.8 inches. A researcher randomly selects 36
snowfalls. What is the probability that the mean of the sample is
less than 170 inches? What is the probability that the mean of the
sample is greater than 180 inches?
[40 pts] Consider a certain city with population 50000, where monthly income is normally distributed with...
[40 pts] Consider a certain city with
population 50000, where monthly income is normally distributed with
mean 2000TL and standard deviation 300TL. (you may use the table
below for calculations)
[20pts] Find the maximum income among the
people with the lowest 10% income.
[20pts] Find the minimum income among the
people with the highest 30% income.
The prices of condos in a city are normally distributed with a mean of $100,000 and...
The prices of condos in a city are normally distributed with a
mean of $100,000 and a standard deviation of $32,000.
Answer the following questions rounding your solutions to 4
decimal places.
1. The city government exempts the cheapest 6% of the condos
from city taxes. What is the maximum price of the condos that will
be exempt from city taxes?
2. If 2% of the most expensive condos are subject to a luxury
tax, what is the minimum price...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- A labor market has 50,000 people in the labor force. Each month, a fraction p of...
- A road with a radius of 72 m is banked so that a car can navigate...
- 1) If you had not dried the solid, would the calculated percent yield have been higher,...
- Two structures of alanine can be drawn that have a net charge of zero, but the...
- Co(II) was used as an internal standard to analyze a sample of Ti(IV) with atomic absorption...
- Matlab Programming Write an M-file to read a real-valued vector of any length from the keyboard...
- TASK back to top In the contemporary management environment, mergers and acquisitions are hot topics; particularly...
ADVERTISEMENT